A ferry takes several trips between points A and B. It moves at a constant speed of 0.35 miles/minute and takes the same route o
n each trip. The total duration of a round trip from point A to point B and back is 80 minutes, ignoring the time spent stopped at point B. If d is the ferry’s distance from point A in miles and t is the time in minutes, which equation models the ferry’s distance from point A for the duration of the trip?
A.
d = -|0.35t – 40| + 40
B.
d = -|0.35t – 80| + 80
C.
d = -|0.35t – 28| + 28
D.
d = -|0.35t – 14| + 14
A.
d = -|0.35t – 40| + 40
B.
d = -|0.35t – 80| + 80
C.
d = -|0.35t – 28| + 28
D.
d = -|0.35t – 14| + 14
1 answer:
The answer is -|0.35 t -14| +14
<u>Step-by-step explanation</u>:
The problem statement is asking for an expression for distance in miles, so the constants in the expression will be miles. In the time it takes to get to point B (40 minutes), the ferry has gone (0.35 mi/min)×(40 min) = 14 mi. Hence the maximum value of the function must be 14. The only function with that characteristic is the one of selection D.
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Answer:
The average rate of change of the function over the interval is of 6.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function h(x) over an interval [a,b] is given by:
In this question:
Over the interval [-9,-2], so
The function is:
Then
The average rate of change of the function over the interval is of 6.